2015/12/04 by Karim Johannès Becher, Andrew E. Dolphin, Becher, Karim Johannes +1
Mathematics · #11E39 #11E81 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1512.01349
openalex publication_date 2015/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show that a split central simple algebra with quadratic pair which decomposes into a tensor product of quaternion algebras with involution and a quaternion algebra with quadratic pair is adjoint to a quadratic Pfister form. This result is new in characteristic two, otherwise it is equivalent to the Pfister Factor Conjecture proven in [3].